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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation [(220+260)*29-x]*0.9+16*29 = 11290.86 .
    Question type: Equation
    Solution:Original question:
     ((220 + 260) × 29 x ) ×
9
10
+ 16 × 29 =
564543
50
     Left side of the equation = ((220 + 260) × 29 x ) ×
9
10
+ 464
    The equation is transformed into :
     ((220 + 260) × 29 x ) ×
9
10
+ 464 =
564543
50
    Remove the bracket on the left of the equation:
     Left side of the equation = (220 + 260) × 29 ×
9
10
x ×
9
10
+ 464
                                             = (220 + 260) ×
261
10
x ×
9
10
+ 464
                                             = 220 ×
261
10
+ 260 ×
261
10
9
10
x + 464
                                             = 5742 + 6786
9
10
x + 464
                                             = 12992
9
10
x
    The equation is transformed into :
     12992
9
10
x =
564543
50

    Transposition :
      -
9
10
x =
564543
50
12992

    Combine the items on the right of the equation:
      -
9
10
x = -
85057
50

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
85057
50
=
9
10
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
9
10
x =
85057
50

    The coefficient of the unknown number is reduced to 1 :
      x =
85057
50
÷
9
10
        =
85057
50
×
10
9
        =
85057
5
×
1
9

    We obtained :
      x =
85057
45
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1890.155556



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